Controlled Integral Frames for Hilbert $C^{\ast}$-Modules
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Authors: H. LABRIGUI AND S. KABBAJ
DOI: 10.46793/KgJMat2306.877L
Abstract:
The notion of controlled frames for Hilbert spaces were introduced by Balazs, Antoine and Grybos to improve the numerical efficiency of iterative algorithms for inverting the frame operator. Controlled frame theory has a great revolution in recent years. This theory have been extended from Hilbert spaces to Hilbert C∗-modules. In this paper we introduce and study the extension of this notion to integral frame for Hilbert C∗-modules. Also we give some characterizations between integral frame in Hilbert C∗-modules.
Keywords:
Integral frames, integral ∗-frame, controlled integral frames, controlled integral ∗-frame, C∗-algebra, Hilbert ????-modules.
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